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4001520146 = 2132171096389
BaseRepresentation
bin1110111010000010…
…0101101000010010
3101022212120021200212
43232200211220102
531143342121041
61501022244122
7201106234331
oct35640455022
911285507625
104001520146
111773832348
12938126642
134ba034600
1429d62bd18
151864758eb
hexee825a12

4001520146 has 48 divisors (see below), whose sum is σ = 6946057800. Its totient is φ = 1722000384.

The previous prime is 4001520109. The next prime is 4001520161. The reversal of 4001520146 is 6410251004.

It can be written as a sum of positive squares in 12 ways, for example, as 52780225 + 3948739921 = 7265^2 + 62839^2 .

It is a super-2 number, since 2×40015201462 = 32024326957687722632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623120 + ... + 629508.

Almost surely, 24001520146 is an apocalyptic number.

4001520146 is a deficient number, since it is larger than the sum of its proper divisors (2944537654).

4001520146 is a wasteful number, since it uses less digits than its factorization.

4001520146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 4001520146 is about 63257.5698711229. The cubic root of 4001520146 is about 1587.6021166130.

The spelling of 4001520146 in words is "four billion, one million, five hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 13 17 26 34 109 169 218 221 338 442 1417 1853 2834 2873 3706 5746 6389 12778 18421 24089 36842 48178 83057 108613 166114 217226 313157 626314 696401 1079741 1392802 1411969 2159482 2823938 9053213 11838817 18106426 18355597 23677634 36711194 117691769 153904621 235383538 307809242 2000760073 4001520146